Can SSL cert be transferred from server to server?

I am going to be moving some clients to a brand new server soon. One of them is shopping for ssl certs/merchant account/etc for online retail biz.

I know if you change domain name you need a new cert but how about changing servers?

It shouldnt matter as long as the domain the cert is for is moved with it right?

Any wisdom would be appreciatedCan SSL cert be transferred from server to server?

 

 

 

 

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